Linked set
 | This mathematics-related article is a stub. You can help Wikipedia by expanding it. |
In mathematics, an upwards linked set A is a subset of a partially ordered set P, in which any two of elements A have a common upper bound in P. Similarly, every pair of elements of a downwards linked set has a lower bound. Note that every centered set is linked, which includes, in particular, every directed set.
References
- Fremlin, David H. (1984). Consequences of Martin's axiom. Cambridge tracts in mathematics, no. 84. Cambridge: Cambridge University Press. ISBN 0521250919.